2 papers
math.AP2025
Coupling local and nonlocal total variation flow for image despeckling
Yi Ran, Zhichang Guo, Kehan Shi +4
Nonlocal equations effectively preserve textures but exhibit weak regularization effects in image denoising, whereas local equations offer strong denoising capabilities yet fail to…
math.AP2025
Nonlocal-to-local convergence of the -Biharmonic evolution equation with the Dirichlet boundary condition
Kehan Shi, Yi Ran
This paper studies the nonlocal -biharmonic evolution equation with the Dirichlet boundary condition that arises in image processing and data analysis. We prove the existence an…